73514016 has 72 divisors (see below), whose sum is σ = 213542784. Its totient is φ = 23978880.

The previous prime is 73514009. The next prime is 73514033. The reversal of 73514016 is 61041537.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10821 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (2965872).

Almost surely, 2^73514016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106771392).

73514016 is an abundant number, since it is smaller than the sum of its proper divisors (140028768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73514016 is a wasteful number, since it uses less digits than its factorization.

73514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 73514016 is about 8574.0314904950. The cubic root of 73514016 is about 418.9125610475.

It can be divided in two parts, 73 and 514016, that added together give a square (514089 = 717²).

The spelling of 73514016 in words is "seventy-three million, five hundred fourteen thousand, sixteen".